Capps, on the disabled list retroactive to June 24 with inflammation in his right shoulder, could make a rehab outing in the Gulf Coast League on Monday, or could decide to throw another bullpen session instead.
Either way, the right-hander is scheduled to make a one-inning outing on Wednesday with Class A Fort Myers, with the hope that he'll be ready to rejoin the Twins on July 13 after the All-Star break.
"Saturday's [bullpen session] will determine whether he wants to throw in a game on Monday or throw a [bullpen session]," Twins assistant general manager Rob Antony said. "And it doesn't really matter either way, to be honest with you."
Capps has a 3.42 ERA with 14 saves in 27 appearances this season. He initially felt discomfort in his shoulder against the Brewers on June 15 and took a week off before suffering a setback in an inning against the Reds on June 23.